5017998077568 has 2304 divisors, whose sum is σ = 19455024476160. Its totient is φ = 1230703165440.

The previous prime is 5017998077567. The next prime is 5017998077569. The reversal of 5017998077568 is 8657708997105.

5017998077568 is a `hidden beast` number, since 50 + 1 + 7 + 9 + 9 + 8 + 0 + 7 + 7 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (5017998077567) and next prime (5017998077569).

It is a super-2 number, since 2×5017998077568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5017998077496 and 5017998077505.

It is not an unprimeable number, because it can be changed into a prime (5017998077567) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51731938896 + ... + 51731938992.

It is an arithmetic number, because the mean of its divisors is an integer number (8444021040).

Almost surely, 2^{5017998077568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017998077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727512238080).

5017998077568 is an abundant number, since it is smaller than the sum of its proper divisors (14437026398592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5017998077568 is a wasteful number, since it uses less digits than its factorization.

5017998077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 5017998077568 in words is "five trillion, seventeen billion, nine hundred ninety-eight million, seventy-seven thousand, five hundred sixty-eight".